A joint analysis of strong lensing and type Ia supernovae to determine the Hubble constant

Abstract We present a cosmological model-independent determination of the Hubble constant, $$H_0$$ H 0 , by combining time-delay measurements from seven TDCOSMO systems, Einstein radius measurements, and type Ia supernovae data sourced from the Pantheon+ sample. For each lens of time-delay system, w...

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Bibliographic Details
Main Authors: L. R. Colaço, R. F. L. Holanda, Z. C. Santana, R. Silva
Format: Article
Language:English
Published: SpringerOpen 2025-05-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-025-14315-6
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Summary:Abstract We present a cosmological model-independent determination of the Hubble constant, $$H_0$$ H 0 , by combining time-delay measurements from seven TDCOSMO systems, Einstein radius measurements, and type Ia supernovae data sourced from the Pantheon+ sample. For each lens of time-delay system, we calculate the angular diameter distance $$D_{A_l}$$ D A l using the product $$D^{\text {Obs}}(z_l) \cdot D_{A,\Delta t}^{\text {Obs}}(z_l, z_s)$$ D Obs ( z l ) · D A , Δ t Obs ( z l , z s ) , where $$D^{\text {Obs}}(z_l)$$ D Obs ( z l ) is reconstructed via Gaussian Processes from 99 Einstein radius measurements, and $$D_{A,\Delta t}^{\text {Obs}}(z_l,z_s)$$ D A , Δ t Obs ( z l , z s ) is the time-delay angular distance. We also reconstruct the unanchored luminosity distance $$H_0 D_L(z_l)$$ H 0 D L ( z l ) from supernova data. By using the cosmic distance duality relation validity, we anchor $$D_{A_l}$$ D A l and $$H_0 D_L(z_l)$$ H 0 D L ( z l ) to infer $$H_0 = 70.55 \pm 7.44$$ H 0 = 70.55 ± 7.44 km/s/Mpc (68% CL). Our result, though not resolving the Hubble tension, offers a cosmological model-independent consistency check and highlights the potential of using strong lensing and supernovae data via the cosmic distance duality relation to constrain $$H_0$$ H 0 .
ISSN:1434-6052